Homogeneous surfaces in Lie sphere geometry

Tongzhu Li

doi:10.1007/s10711-010-9460-4

Homogeneous surfaces in Lie sphere geometry

Tongzhu Li^*

^*此作品的通讯作者

数学学院

Capital Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

1 引用（Scopus）

摘要

In this paper, we study surfaces of S³ in the context of Lie sphere geometry. We construct invariants with respect to Lie sphere transformations on the surfaces, which determine the surfaces up to a Lie sphere transformation. Finally we classify completely the homogeneous surfaces in S³ with respect to the Lie sphere transformation group of S³.

源语言	英语
页（从-至）	15-43
页数	29
期刊	Geometriae Dedicata
卷	149
期	1
DOI	https://doi.org/10.1007/s10711-010-9460-4
出版状态	已出版 - 12月 2010

访问文件

10.1007/s10711-010-9460-4

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{1de0177d3ff748bda6296af31bfc6cae,

title = "Homogeneous surfaces in Lie sphere geometry",

abstract = "In this paper, we study surfaces of S3 in the context of Lie sphere geometry. We construct invariants with respect to Lie sphere transformations on the surfaces, which determine the surfaces up to a Lie sphere transformation. Finally we classify completely the homogeneous surfaces in S3 with respect to the Lie sphere transformation group of S3.",

keywords = "Canal surface, Lie homogeneous surface, Lie sphere geometry",

author = "Tongzhu Li",

year = "2010",

month = dec,

doi = "10.1007/s10711-010-9460-4",

language = "English",

volume = "149",

pages = "15--43",

journal = "Geometriae Dedicata",

issn = "0046-5755",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Homogeneous surfaces in Lie sphere geometry

AU - Li, Tongzhu

PY - 2010/12

Y1 - 2010/12

N2 - In this paper, we study surfaces of S3 in the context of Lie sphere geometry. We construct invariants with respect to Lie sphere transformations on the surfaces, which determine the surfaces up to a Lie sphere transformation. Finally we classify completely the homogeneous surfaces in S3 with respect to the Lie sphere transformation group of S3.

AB - In this paper, we study surfaces of S3 in the context of Lie sphere geometry. We construct invariants with respect to Lie sphere transformations on the surfaces, which determine the surfaces up to a Lie sphere transformation. Finally we classify completely the homogeneous surfaces in S3 with respect to the Lie sphere transformation group of S3.

KW - Canal surface

KW - Lie homogeneous surface

KW - Lie sphere geometry

UR - http://www.scopus.com/inward/record.url?scp=78149495385&partnerID=8YFLogxK

U2 - 10.1007/s10711-010-9460-4

DO - 10.1007/s10711-010-9460-4

M3 - Article

AN - SCOPUS:78149495385

SN - 0046-5755

VL - 149

SP - 15

EP - 43

JO - Geometriae Dedicata

JF - Geometriae Dedicata

IS - 1

ER -

Homogeneous surfaces in Lie sphere geometry

摘要

访问文件

其它文件与链接

指纹

引用此